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AP® Calculus AB-BC

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Moderate

Disguised Integration by Parts

APCALC-LH1QKB

Find the antiderivative:

$$\int e^{\sqrt{x}}dx$$

A

$2\sqrt{x}e^{\sqrt{x}}+C$

B

$e^{\sqrt{x}}+C$

C

$2e^{\sqrt{x}}\left ( \sqrt{x}-1 \right )+C$

D

$\cfrac{1}{2^{\sqrt{x}}}e^{\sqrt{x}}+C$